If R is set of all real numbers, what do cartesian products R × R and R × R × R represent?

English

Gujarati

Hindi

2.Relations and Functions

easy

If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?

Option A

Option B

Option C

Option D

Solution

The Cartesian product $R \times R$ represents the set $R \times R =\{(x, y): x, y \in R \}$ which represents the coordinates of all the points in two dimensional space and the cartesian product $R \times R \times R$ represents the set $R \times R \times R =\{(x, y, z): x, y, z \in R \}$ which represents the coordinates of all the points in three-dimensional space.

Standard 11

Mathematics

If two sets $A$ and $B$ have $99$ elements in common, then the number of elements common to the sets $A \times B$ and $B \times A$ is equal to

hard

Let $A=\{1,2\}$ and $B=\{3,4\} .$ Write $A \times B .$ How many subsets will $A \times B$ have? List them.

medium

If the set $A$ has $p$ elements, $B$ has $q$ elements, then the number of elements in $A × B$ is

easy

The Cartesian product $A$ $\times$ $A$ has $9$ elements among which are found $(-1,0)$ and $(0,1).$ Find the set $A$ and the remaining elements of $A \times A$.

medium

If $A = \{1, 2, 4\}, B = \{2, 4, 5\}, C = \{2, 5\},$ then $(A -B) × (B -C)$ is

easy

If $R$ is the set of all real numbers, what do the cartesian products $R \times R$ and $R \times R \times R$ represent?

Solution

Similar Questions

If two sets $A$ and $B$ have $99$ elements in common, then the number of elements common to the sets $A \times B$ and $B \times A$ is equal to

Let $A=\{1,2\}$ and $B=\{3,4\} .$ Write $A \times B .$ How many subsets will $A \times B$ have? List them.

If the set $A$ has $p$ elements, $B$ has $q$ elements, then the number of elements in $A × B$ is

The Cartesian product $A$ $\times$ $A$ has $9$ elements among which are found $(-1,0)$ and $(0,1).$ Find the set $A$ and the remaining elements of $A \times A$.

If $A = \{1, 2, 4\}, B = \{2, 4, 5\}, C = \{2, 5\},$ then $(A -B) × (B -C)$ is

Start a Free Trial Now